Whakaoti i te 2x-3(x-1)+8=3x-2(x+2)

$$2x-3(x-1)+8=3x-2(x+2)$$

Whakaoti mō x

$$x = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te x-1.

$$2x-3x+3+8=3x-2\left(x+2\right)$$

Pahekotia te 2x me -3x, ka -x.

$$-x+3+8=3x-2\left(x+2\right)$$

Tāpirihia te 3 ki te 8, ka 11.

$$-x+11=3x-2\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+2.

$$-x+11=3x-2x-4$$

Pahekotia te 3x me -2x, ka x.

$$-x+11=x-4$$

Tangohia te x mai i ngā taha e rua.

$$-x+11-x=-4$$

Pahekotia te -x me -x, ka -2x.

$$-2x+11=-4$$

Tangohia te 11 mai i ngā taha e rua.

$$-2x=-4-11$$

Tangohia te 11 i te -4, ka -15.

$$-2x=-15$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-15}{-2}$$

Ka taea te hautanga \frac{-15}{-2} te whakamāmā ki te \frac{15}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{15}{2}$$